Unless you have precise control over the camera's position for every take, a perfect match is impossible. You will have to find a common transition point between shots taken at different times and do your best to line things up on a single frame, then fiddle around with the 3D views and get as close as you can to a match, then do a dissolve. There is no real automated way to do this.
As for the timing, if you can mark a common start point and ending point for all shots, you can get the different clips to match up in length by using the shot with the smoothest camera movement as the master, then applying Time Remapping to the other shots and simply dragging the last keyframe to the same spot, stretching or shrinking each shot so the start and end are in the same spot.
When you have the start and end matched up, you will have to find a few points in the timeline that need to be adjusted to match the timing of the "master" shot, add a keyframe, and then drag it to the left or right to get the location to match up as close as you can. Without motion control cameras, and especially with a handheld 360º camera, you'll have to get as close as you can and let a short dissolve and some position and angle adjustments line up the shots as good as you can.
I have done several similar projects using timelapse camera setups. The most complicated ones were on the North Rim of the Grand Canyon and near Glacier Park, where I returned to the same location every two weeks from the first day of spring that I could get to the location because of snow, set up my camera with a motorized pan head to follow the sun from sunrise to sunset and shoot timelapse footage that we could blend together. The final shot followed the sun from sunrise to sunset as the snow melted, wildflowers bloomed, the hot summer days and afternoon thunderstorms passed, then fall colors, leaves falling, and snow falling. The final shot could not have been made seamless without having scouted the locations the year before, researched the changing path of the sun as the year passed to plot the tilt and pan angle of the camera, pouring a concrete footing for the tripod legs at each location we could bold down the tripod legs, and a motion control motor for the pan head to allow us to follow the sun across the sky.
I hope this helps. It will take a lot of hand work and a very good understanding of how Time Remapping works.
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